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Haircutting non-cash collateral has become a key element of the post-crisis reform of the shadow banking system and OTC derivatives markets. This article develops a parametric haircut model by expanding haircut definitions beyond the…

Pricing of Securities · Quantitative Finance 2020-05-05 Wujiang Lou

The Multi Variate Mixture Dynamics model is a tractable, dynamical, arbitrage-free multivariate model characterized by transparency on the dependence structure, since closed form formulae for terminal correlations, average correlations and…

Pricing of Securities · Quantitative Finance 2018-11-01 Damiano Brigo , Camilla Pisani , Francesco Rapisarda

In a discrete-time setting, we study arbitrage concepts in the presence of convex trading constraints. We show that solvability of portfolio optimization problems is equivalent to absence of arbitrage of the first kind, a condition weaker…

Mathematical Finance · Quantitative Finance 2022-02-21 Claudio Fontana , Wolfgang J. Runggaldier

The multifractal behavior for tick data of prices is investigated in Korean financial market. Using the rescaled range analysis(R/S analysis), we show the multifractal nature of returns for the won-dollar exchange rate and the KOSPI. We…

Statistical Mechanics · Physics 2008-12-02 Kyungsik Kim , Seong-Min Yoon

We reconsider the microeconomic foundations of financial economics. Motivated by the importance of Knightian Uncertainty in markets, we present a model that does not carry any probabilistic structure ex ante, yet is based on a common order.…

Economics · Quantitative Finance 2021-01-25 Matteo Burzoni , Frank Riedel , H. Mete Soner

We extend the "No-dynamic-arbitrage and market impact"-framework of Jim Gatheral [Quantitative Finance, 10(7): 749-759 (2010)] to the multi-dimensional case where trading in one asset has a cross-impact on the price of other assets. From…

Trading and Market Microstructure · Quantitative Finance 2017-08-28 Michael Schneider , Fabrizio Lillo

This paper proposes a new family of Tweedie-based ratemaking models that explicitly account for mid-term policy cancellations. Using an automobile insurance dataset from a Canadian insurer, we document a marked difference in claims…

Applications · Statistics 2026-04-06 Jean-Philippe Boucher , Raïssa Coulibaly , Julien Trufin

We consider the fundamental theorem of asset pricing (FTAP) and hedging prices of options under non-dominated model uncertainty and portfolio constrains in discrete time. We first show that no arbitrage holds if and only if there exists…

Probability · Mathematics 2015-03-30 Erhan Bayraktar , Zhou Zhou

This work studies the valuation of currency options in markets suffering from a financial crisis. We consider a European option where the underlying asset is a foreign currency. We assume that the value of the underlying asset is a…

Pricing of Securities · Quantitative Finance 2018-01-26 Abdulnasser Hatemi-J , Youssef El-Khatib

We develop the optimal trading strategy for a foreign exchange (FX) broker who must liquidate a large position in an illiquid currency pair. To maximize revenues, the broker considers trading in a currency triplet which consists of the…

Trading and Market Microstructure · Quantitative Finance 2020-04-28 Álvaro Cartea , Sebastian Jaimungal , Tianyi Jia

We characterize absence of arbitrage with simple trading strategies in a discounted market with a constant bond and several risky assets. We show that if there is a simple arbitrage, then there is a 0-admissible one or an obvious one, that…

Pricing of Securities · Quantitative Finance 2012-10-22 Christian Bender

We study risk-sharing economies where heterogenous agents trade subject to quadratic transaction costs. The corresponding equilibrium asset prices and trading strategies are characterised by a system of nonlinear, fully-coupled…

Portfolio Management · Quantitative Finance 2020-10-01 Martin Herdegen , Johannes Muhle-Karbe , Dylan Possamaï

In FX cash markets, market makers provide liquidity to clients for a wide variety of currency pairs. Because of flow uncertainty and market volatility, they face inventory risk. To mitigate this risk, they typically skew their prices to…

Trading and Market Microstructure · Quantitative Finance 2023-10-31 Alexander Barzykin , Philippe Bergault , Olivier Guéant

This paper does not suppose a priori that the evolution of the price of a financial asset is a semimartingale. Since possible strategies of investors are self-financing, previous prices are forced to be finite quadratic variation processes.…

Probability · Mathematics 2014-06-30 Rosanna Coviello , Cristina Di Girolami , Francesco Russo

Cash collateral is perfect in that it provides simultaneous counterparty credit risk protection and derivatives funding. Securities are imperfect collateral, because of collateral segregation or differences in CSA haircuts and repo…

Pricing of Securities · Quantitative Finance 2017-08-28 Wujiang Lou

This paper provides a framework for modeling the financial system with multiple illiquid assets during a crisis. This work generalizes the paper by Amini, Filipovic and Minca (2016) by allowing for differing liquidation strategies. The main…

Risk Management · Quantitative Finance 2016-11-30 Zachary Feinstein

In traditional financial markets, yield curves are widely available for countries (and, by extension, currencies), financial institutions, and large corporates. These curves are used to calibrate stochastic interest rate models, discount…

General Finance · Quantitative Finance 2025-12-18 Philippe Bergault , Sébastien Bieber , Olivier Guéant , Wenkai Zhang

In a model with no given probability measure, we consider asset pricing in the presence of frictions and other imperfections and characterize the property of coherent pricing, a notion related to (but much weaker than) the no arbitrage…

Mathematical Finance · Quantitative Finance 2016-09-12 Gianluca Cassese

We study the valuation and hedging problem of European options in a market subject to liquidity shocks. Working within a Markovian regime-switching setting, we model illiquidity as the inability to trade. To isolate the impact of such…

Pricing of Securities · Quantitative Finance 2014-09-10 Michael Ludkovski , Qunying Shen

The LIBOR has served since the 1970s as a fundamental measure for floating term rates across multiple currencies and maturities. However, in 2017 the Financial Conduct Authority announced the discontinuation of LIBOR from the end of 2021…

Mathematical Finance · Quantitative Finance 2025-11-04 Matthew Bickersteth , Yining Ding , Marek Rutkowski